15 ideas
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 17699 | Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel] |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| 6303 | Sets are positions in patterns [Resnik] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| 6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
| 6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
| 6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
| 6375 | The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger] |
| 6381 | The mind and the self are one, and the mind-self is a biological phenomenon [Polger] |
| 6378 | Teleological functions explain why a trait exists; causal-role functions say what it does [Polger] |
| 6380 | Identity theory says consciousness is an abstraction: a state, event, process or property [Polger] |
| 6379 | A mummified heart has the teleological function of circulating blood [Polger] |
| 6377 | Teleological notions of function say what a thing is supposed to do [Polger] |